Question

the ratio of base to height of triangular Field is3:1.if the cost of cultivating the field at Rs28per sq.m is Rs9450 find its base and height​

Answer 1

Answer:

Base = 45m

Height = 15m

Step-by-step explanation:

Let 'b' be the base and 'h' be the height.

Given b/h = 3/1

=> b = 3h --------------------(1)

Area of the field, A = b x h/2

Substituting (1) in the above equation,

A = 3h x h/2 = (3h^2)/2

Rate of field cultivation = Rs. 28/ m^2

Cost of cultivating the field = Area x Rate of field cultivation = Rs. 9450

(3h^2)/2 x 28 = 9450

=> h = 15m

Substituting value of h in (1)

b = 3x15 = 45m